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3 years ago

For what value of x is PQ || BC? A 5 B. 6 C. 7 D. 8

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Answer:

C. 7

Step-by-step explanation:

$In\: \triangle ABC\\\overline{PQ} \parallel \overline {BC}.. (given) \\$

Therefore, by Basic Proportionality theorem:

$\frac{AP}{PB} = \frac{AQ}{QC} \\\\\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\ \therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}$

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A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to

Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

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3 years ago

Arianna runs up 4.5 flights of stairs. How far will Arianna have to run down to represent an additive inverse?

nignag [31]

Yes she would. bc she run up 4.5 and since she is goin back down the same amount it would be negative and so she will end up at 0

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3 years ago

Read 2 more answers

What expression is equivalent to 12x^4/4x^16 helpppp

adoni [48]

Answer: 48x/64

Work (assuming ^ is multiplication):

12x^4/4x^16

12x ^ 4x = 48x

4 ^ 16 = 64

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2 years ago

Question progress Homework Progress The ratio 8:2 in its simplest form is

lidiya [134]

Answer:

4:1

Step-by-step explanation:

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3 years ago

The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

This is a good investment

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

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3 years ago